Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)

GIVEN:



remember:



And



SOLVE:

start by multiplying the factors:



simplify by combing like terms. Most terms subtract off, leaving:



This can be factored, but it is not a perfect square, which is really what we need to take the square root.



I'm not exactly sure what form they want the answer in...

so taking the square root:



so my best answer is:


or the more factored form:



I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!